2 problems

Higher-dimensional excess-variance conjecture. When $d\geq3$, the variance of this count as the dilation parameter ranges over $0<r<R$ should be much larger than $|\Omega(R,t)|$. T…

Let $\Omega(r,t)$ denote the thin annular region used in the paper, and write the main contribution to the variance as $X(r,t)+Y(r,t)$, where $Y(r,t)$ is the series containing the…